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Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”
Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, p. 939.

This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space , defined by Gibbs measure.

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DOI : https://doi.org/10.5802/crmath.116
@article{CRMATH_2020__358_8_939_0,
     author = {Bilel Selmi},
     title = {Appendix to the paper {\textquotedblleft}On the Billingsley dimension of Birkhoff average in the countable symbolic space{\textquotedblright}},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {939--939},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {8},
     year = {2020},
     doi = {10.5802/crmath.116},
     language = {en},
}
Bilel Selmi. Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”. Comptes Rendus. Mathématique, Tome 358 (2020) no. 8, p. 939. doi : 10.5802/crmath.116. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.116/

[1] Najmeddine Attia; Bilel Selmi On the Billingsley dimension of Birkhoff average in the countable symbolic space, C. R. Math. Acad. Sci. Paris, Volume 358 (2020) no. 3, pp. 255-265 | Article | MR 4125769 | Zbl 07226783

[2] Ai-Hua Fan; Ming-Tian Li; Ji-Hua Ma Generic points of shift-invariant measures in the countable symbolic space, Math. Proc. Camb. Philos. Soc., Volume 166 (2019) no. 2, pp. 381-413 | Article | MR 3903124 | Zbl 1409.37038